GCF of 9623/207, 1887/744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9623/207, 1887/744 i.e 1/51336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9623/207, 1887/744.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9623/207,1887/744?
Given fractions are 9623/207,1887/744
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9623/207,1887/744, numerators are 9623,1887
Denominators are 207,744
The GCF of 9623,1887 is 1 .
LCM of 207,744 is 51336.
The greatest common factor of 9623/207,1887/744 = [GCF of 9623,1887]/[LCM of 207,744]= 1/51336
Therefore, the GCF of 9623/207,1887/744 is 1/51336.
To find the highest common factor of 9623,1887, we have to find the factors of both numbers and list the highest common factor.
The factors of 9623 are 1, 9623
The factors of 1887 are 1, 3, 17, 37, 51, 111, 629, 1887
The HCF of 9623,1887 is 1.
Lets's calculate GCF of 9623,1887
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9623,1887 By Matching Biggest Common Factor Method
Now, list down the factors of 9623
:1,9623
Now, list down the factors of 1887
:1,3,17,37,51,111,629,1887
Greatest Common Factor
We found the factors 9623,1887 . The biggest common factor number is the GCF number.
So the greatest common factor 9623,1887 is 1.
Lets's calculate LCM of 207,744
| 3 | 207, 744 |
| 69, 248 |
∴ So the LCM of the given numbers is 3 x 69 x 248 = 51336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51336
Therefore, the GCF of Fractions 9623/207,1887/744 is 1/51336
Least Common Multiple of 207,744 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 207,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,744) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(207,744) x common factors =3 x 1 = 3
LCM(207,744) = ( 207 × 744 ) / 3
LCM(207,744) = 154008 / 3
LCM(207,744) = 51336
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FAQs on GCF of Fractions of 9623/207, 1887/744
1. What is the HCF of 9623,1887?
The HCF of 9623,1887 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9623/207, 1887/744?
Answer: GCF of Numerators as per given numbers 9623/207, 1887/744 is
GCF of Numerators i.e. for 9623,1887 is 1
LCM of denominators i.e. for 207,744 is 51336.
Thus, GCF of Fractions is 1/51336.Finally, GCF of Fractions for 9623/207, 1887/744 is 1/51336.